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Finding the Fourth Proportional to 23.65, 32.56 and 22.91

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Solution

The fourth proportional to 23.65, 32.56 and 22.91 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.65 : 32.56 = 22.91 : x
  2. Step 2: Convert to fraction form
    23.65/32.56 = 22.91/x
  3. Step 3: Cross multiply
    23.65x = 32.56 × 22.91
  4. Step 4: Simplify right side
    23.65x = 745.95
  5. Step 5: Solve for x
    x = 745.95/23.65
  6. Step 6: Final answer
    x = 31.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.